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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 59150b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59150.j1 | 59150b1 | \([1, 1, 0, -19471000, 33119432000]\) | \(-10824513276632329/21926008832\) | \(-1653635261943392000000\) | \([]\) | \(4139520\) | \(2.9584\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59150b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59150b do not have complex multiplication.Modular form 59150.2.a.b
sage: E.q_eigenform(10)